What is the standard form for 25x²+4y²+50x-24y-39=0

Answers

Answer 1

Answer: 25x² + 4y² + 50x - 24y - 39 = 0
25x² + 50x + 4y² - 24y - 39 = 0
25x² + 50x - 39 = 0   4y² - 24y - 39 = 0
x = -b + √b² - 4ac y= -b + √b² - 4ac
      2a 2a
x = -50 + √(-50)² - 4(25)(-39)     y = -(-24) + √-(-24)² - 4(4)(-39)
   2(25) 2(4)
x = -50 + √2500 + 3900 y = 24 + √-576 + 624
   50 8
x = -50 + √6400 y = 24 + √48
      50    8
x = -50 + 80 y = 24 + √16 × 3
   50 8
x = -50 + 80 y = 24 + √16 √3
   50   8
x= -50 + 80    y = 24 + 4 √3
   50 8
x = -50 + 80                                        y = 24 + 4 √3
   50    8
x = -50 + 80   x = -50 - 80 y = 24 + 4 √3   y = 24 - 4 √3
      50 50 8     8
x = 30     x = -130     y = 28 √3     y = 20 √3
      50      50         8      8
x = 3     x = -13 y = 28 √3        y = 20 √3
      5     5    8     8
(x, y) = (3, 26 √3) (x, y) = (-13, 20 √3 )
        5    8 5 8

Answer 2

Answer: $25x^2+4y^2+50x-24y-39=0\n25x^2+50x+25+4y^2-24y+36-100=0\n(5x+5)^2+(2y-6)^2=100$

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Noah is studying dogs to determine their interest in blue toys versus red toys. He splits a group of 20 dogs into 2 groups. One group is given blue toys and the other is given red toys. Noah has the dogs play with the toys until they lose interest. He finds that the dogs that had blue toys played with them 2 minutes longer than the dogs that played with red toys. Noah rerandomizes the data, calculates the difference between the means, and creates the dot plot shown below. Based on the data, can Noah conclude the difference is significant?.

Answers

Noah re randomizes the data, calculates the difference between the means, and creates the dot plot shown below. Based on the data, can Noah conclude the difference is significant?

Answer: by looking at the graph we can make the conclusion that Yes, Noah can conclude the difference is significant because a 2-minute difference is not likely to happen by chance. Please see the graph in the attachments.

I hope it helps, Regards.

Noah re randomizes the data, calculates the difference between the means, and creates the dot plot shown below.

Based on the data,

We have to determine conclude the difference is significant.

What is the difference?

The difference is a key concept of philosophy, denoting the process or set of properties by which one entity is distinguished from another within a relational field or a given conceptual system.

By looking at the graph we can make the conclusion that Yes, Noah can conclude the difference is significant because a 2-minute difference is not likely to happen by chance. Please see the graph in the attachments.

Therefore to learn more about the difference visit:

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What is the equation of a horizontal line that passes through the point at
(-2,-3)????

Answers

$Equation\ of\ a\ horizaontal\ line\ is:y=b\n\nLine\ passes\ through\ the\ point\ (-2;-3)\ then\ answer\ is\ y=-3$

A horizontal line has the same y-value everywhere, no matter what the x-value is.

The equation of the line is [ y = -3 ].

Jerry bought a bottle of perfume for a gift for his wife.The perfume cost $92 before tax.

If the total price including tax was $98.90, find the tax rate.

Answers

First, you need to find how much money the tax was (98.90-92=6.9) Then, divide the tax by the price without the tax to find the tax rate (6.9/92=.075) then multiply the answer by 100 (.075*100=7.5)The tax rate is 7.5%

The product of 9 and a number is 12 less than three times that number.What is the number?

Giving 20 Points....

Answers

9n = 3n-12
-3n= -3n
6n= -12
divide by 6 = -2 =n

to check.. 9 times -2 = -18 soo.. 3 times -2= -6-12= -18

so it is correct!!

hope it helps :)

Give the values of a, b, and c needed to write the equation's general form. 1/4x^2 + 5 = 0

Answers

The values of a, b, and c needed to write given quadratic equation in its general form: a = 1/4 , b = 0 and c = 5

What is an equation?

"It is a mathematical statement which consists of equal symbol between two mathematical statements."

What is a quadratic equation?

"A polynomial equation of degree 2 is a quadratic equation."

For given question,

We have been given a quadratic equation 1/4x² + 5 = 0

We know that the general for of quadratic equation is ax² + bx + c = 0

where a, b, c are real numbers with a ≠ 0.

We need to write given quadratic equation in the standard form and find the corresponding value for a, b, and c.

Comparing given quadratic equation with the general form of quadratic equation we have,

a = 1/4 , b = 0 and c = 5

Therefore, the values of a, b, and c needed to write given quadratic equation in its general form: a = 1/4 , b = 0 and c = 5

Learn more about the equation here:

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$(1)/(4)x^2 + 5 = 0 \n \n y= ax^2+bx+c \n \n a=(1)/(4) , \ \ b= 0, \ \ c= 5$

What is 1/3 added to 1/4

Answers

If you would like to calculate 1/3 added to 1/4, you can do this using the following steps:

added to ... +
1/3 + 1/4 = 4/12 + 3/12 = (4 + 3) / 12 = 7/12

The correct result would be 7/12.

If you find a common denominator wich would be 12 then 1/3 turns to 4/12 and 1/4 turns into 3/12 youadd and its 7/12 and it cant be simplifed for the reason that 7 is a prime number

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